Pith Number

pith:XI2G2LTK

pith:2015:XI2G2LTKVFK26VJWCWVUI5V5TB

not attested not anchored not stored refs pending

Obstructions to algebraizing topological vector bundles

Aravind Asok, Jean Fasel, Michael J. Hopkins

arxiv:1506.08111 v2 · 2015-06-26 · math.AG · math.AT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI2G2LTKVFK26VJWCWVUI5V5TB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:10:04.559993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba346d2e6aa955af553615ab4476bd986b8e8f48fc752b1bdde7c7a86e2338c4

Aliases

arxiv: 1506.08111 · arxiv_version: 1506.08111v2 · doi: 10.48550/arxiv.1506.08111 · pith_short_12: XI2G2LTKVFK2 · pith_short_16: XI2G2LTKVFK26VJW · pith_short_8: XI2G2LTK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XI2G2LTKVFK26VJWCWVUI5V5TB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ba346d2e6aa955af553615ab4476bd986b8e8f48fc752b1bdde7c7a86e2338c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f0f6d905206377d0a0ee5cb96245cd0a7a5a6ee44cf36b78141d5be8bb56ce",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-26T15:13:49Z",
    "title_canon_sha256": "e4992857d67042272bb58628926ca0c942b07949339dbb46726d4ab3b99f81a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08111",
    "kind": "arxiv",
    "version": 2
  }
}